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3 years ago

Solve the inequality. Please help.

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

Answer:

2 < x <_ 3.5

Step-by-step explanation:

First, find the value of x by writing it as an equation. Then, use 0 as x to determine the correct inequality.

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Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation 7 If

Juliette [100K]

Answer:

The required constant of variation is 4 and the equation is y=4xz over w (over meaning a fraction)

I don't know if you need a explanation on how to do this, just let me know if so.

Step-by-step explanation:

7 0

2 years ago

In order to remove water from a flooded basement, two pumps, each rated at 40 gallons per minute, are used. After half an hour,

Scrat [10]

Answer:

3600 gallons of water was removed from the basement.

Step-by-step explanation:

Given:

Rate of each pump = 40 gallons/min

We need to find find the number of gallons of water removed from the basement.

Solution:

Now Given:

After half an hour, the one pump burns out.

Now we know that;

1 hour = 60 mins

$\frac12$ hour = $\frac{60}{2}=30\ mins$

Now for 30 mins both the pumps were working and removing the water.

So we can say that;

Water remove for first 30 mins = $40\times2\times30=2400\ gallons$

Also Given:

the second pump finishes removing the water half an hour later.

So we can say that;

Water removed for next 30 mins = $40\times 30\times1 =1200\ gallons$

Now we can say that;

Total water removed from the basement is equal to sum of Water remove for first 30 mins and Water removed for next 30 mins .

framing in equation form we get;

Total water removed from the basement = $2400+1200=3600\ gallons.$

Hence 3600 gallons of water was removed from the basement.

6 0

2 years ago

Please help with this Math Question...

Nataly [62]

Answer: A

Step-by-step explanation:

f(x) = x³ + 4x² + 7x + 6

possible rational roots are ±{1, 2, 3, 6}

Try x = -2

-2 | 1 4 7 6

| ↓ -2 -4 -6

1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0

The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.

a=1, b=2, c=3

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\dfrac{-(2)\pm\sqrt{(2)^2-4(1)(3)} }{2(1)}$

$x=\dfrac{-2\pm\sqrt{4-12} }{2}$

$x=\dfrac{-2\pm\sqrt{-8} }{2}$

$x=\dfrac{-2\pm2i\sqrt{2}}{2}$

$x = -1 \pm i\sqrt{2}$

$x = -1 + i\sqrt{2}$ $x = -1 - i\sqrt{2}$

$x - (-1 + i\sqrt{2})=0$ $x - (-1 - i\sqrt{2})=0$

The factors are:

$(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]$

5 0

2 years ago

What charge is the neutron? Katlyn-charged negative no charge (neutral) positive

Fynjy0 [20]

Answer:

neutral

Step-by-step explanation:

neutral subatomic particle that is a constituent of every atomic nucleus except ordinary hydrogen.

4 0

2 years ago

Jason tracked the days of the week for the last 50 times he was assigned homework.

vovangra [49]

Answer:

Hello, mizuki here to help!

The correct answer would be C

Step-by-step explanation:

Ok, so the total of homework he got was 50, and the number of homework he got in monday was 16.

So.... it should be expressed as 16/50 which would be 0.32

3 0

2 years ago